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{'Nk2': 10952, 'analytic_conductor': 21.863040073426568, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [37, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2738, 1, [1371], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 37902897, 'field_disc_factorization': [[3, 8], [53, 1], [109, 1]], 'field_poly': [-64, 0, 60, -1, -15, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-64, 0, 60, 1, -15, 0, 1]], [5, [-1, -3, 0, 1]], [7, [-64, -48, 168, -37, -24, 3, 1]], [13, [-719, -183, 324, 43, -42, 0, 1]], [17, [163, 390, 120, -69, -24, 3, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071485106, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2738.2.a.q', 'level': 2738, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.f.b', 'nf_label': '6.6.37902897.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{3}q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2738.2.a', 'trace_display': [-6, 0, 0, -3], 'trace_hash': 298818456714363452, 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-
mf_newspaces • Show schema
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{'ALdims': [25, 30, 34, 21], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [18, 19, 19, 19], 'ALdims_old': [47, 55, 47, 55], 'Nk2': 10952, 'analytic_conductor': 21.863040073426568, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2738, 1, [1371], [1]], 'conrey_index': 1, 'cusp_dim': 314, 'dim': 110, 'eis_dim': 75, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13, 17], 'hecke_orbit_code': 33557170, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 6, 6, 9, 9, 18, 18], 'label': '2738.2.a', 'level': 2738, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 389, 'mf_new_dim': 110, 'num_forms': 24, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 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mf_twists_cc • Show schema
Hide schema
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id: 47997676
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72057594071485106, 'target_is_minimal': False, 'target_label': '2738.2.a.q.1.5', 'target_level': 2738, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47997677
{'conductor': 37, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 53, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308682, 'target_is_minimal': True, 'target_label': '74.2.f.b.53.1', 'target_level': 74, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '37.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47997678
{'conductor': 37, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308682, 'target_is_minimal': True, 'target_label': '74.2.f.b.7.1', 'target_level': 74, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '37.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 47997679
{'conductor': 37, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85568392953596594, 'target_is_minimal': False, 'target_label': '2738.2.a.t.1.5', 'target_level': 2738, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '37.36', 'twisting_conrey_index': 36, 'weight': 2}
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id: 47997680
{'conductor': 111, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27023178345743002, 'target_is_minimal': False, 'target_label': '666.2.x.g.127.1', 'target_level': 666, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '111.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 47997681
{'conductor': 111, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 451, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27023178345743002, 'target_is_minimal': False, 'target_label': '666.2.x.g.451.1', 'target_level': 666, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '111.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 47997682
{'conductor': 148, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 497, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512723061015120, 'target_is_minimal': False, 'target_label': '592.2.bc.d.497.2', 'target_level': 592, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '148.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 47997683
{'conductor': 148, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 72057594071485106, 'source_is_minimal': False, 'source_label': '2738.2.a.q.1.5', 'source_level': 2738, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512723061015120, 'target_is_minimal': False, 'target_label': '592.2.bc.d.81.2', 'target_level': 592, 'twist_class_label': '74.2.f.b.7.1', 'twist_class_level': 74, 'twisting_char_label': '148.139', 'twisting_conrey_index': 139, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2826400
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 72057594071485106, 'p': 2}
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id: 2826401
{'charpoly_factorization': [[[-64, 0, 60, 1, -15, 0, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 3}
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id: 2826402
{'charpoly_factorization': [[[-1, -3, 0, 1], 2]], 'hecke_orbit_code': 72057594071485106, 'p': 5}
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id: 2826403
{'charpoly_factorization': [[[-64, -48, 168, -37, -24, 3, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 7}
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id: 2826404
{'charpoly_factorization': [[[-64, 96, 132, -37, -24, 3, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 11}
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id: 2826405
{'charpoly_factorization': [[[-719, -183, 324, 43, -42, 0, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 13}
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id: 2826406
{'charpoly_factorization': [[[163, 390, 120, -69, -24, 3, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 17}
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id: 2826407
{'charpoly_factorization': [[[64, -672, 228, 453, 156, 21, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 19}
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id: 2826408
{'charpoly_factorization': [[[64, -288, 12, 335, 144, 21, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 23}
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id: 2826409
{'charpoly_factorization': [[[37, 228, 309, 84, -24, -6, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 29}
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id: 2826410
{'charpoly_factorization': [[[130112, 36192, -6252, -1717, 24, 21, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 31}
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id: 2826411
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 72057594071485106, 'p': 37}
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id: 2826412
{'charpoly_factorization': [[[21608, 6360, -9882, 1975, -27, -18, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 41}
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id: 2826413
{'charpoly_factorization': [[[8704, -2880, -3744, -639, 51, 18, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 43}
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id: 2826414
{'charpoly_factorization': [[[-83008, 29088, 6252, -1025, -141, 9, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 47}
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id: 2826415
{'charpoly_factorization': [[[17, -225, 474, -361, 120, -18, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 53}
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id: 2826416
{'charpoly_factorization': [[[1088, 3360, 3180, 1339, 276, 27, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 59}
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id: 2826417
{'charpoly_factorization': [[[52928, -29664, -7476, 1699, 69, -24, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 61}
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id: 2826418
{'charpoly_factorization': [[[-512, 1728, 3120, 927, -144, -9, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 67}
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id: 2826419
{'charpoly_factorization': [[[-512, 1152, 1536, 72, -108, 0, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 71}
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id: 2826420
{'charpoly_factorization': [[[216289, 14274, -22314, 2493, 108, -27, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 73}
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id: 2826421
{'charpoly_factorization': [[[9792, 2160, -2808, -741, 63, 21, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 79}
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id: 2826422
{'charpoly_factorization': [[[1088, -3216, 3144, -1339, 276, -27, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 83}
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id: 2826423
{'charpoly_factorization': [[[-219419, -89013, 2025, 2769, -75, -21, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 89}
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id: 2826424
{'charpoly_factorization': [[[2744, -5880, 630, 2165, 549, 42, 1], 1]], 'hecke_orbit_code': 72057594071485106, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '2738.2.a.q', 'level': 2738, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 61367341
{'hecke_orbit_code': 72057594071485106, 'n': 1, 'trace_an': 6}
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id: 61367342
{'hecke_orbit_code': 72057594071485106, 'n': 2, 'trace_an': -6}
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id: 61367343
{'hecke_orbit_code': 72057594071485106, 'n': 3, 'trace_an': 0}
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id: 61367344
{'hecke_orbit_code': 72057594071485106, 'n': 4, 'trace_an': 6}
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id: 61367345
{'hecke_orbit_code': 72057594071485106, 'n': 5, 'trace_an': 0}
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id: 61367346
{'hecke_orbit_code': 72057594071485106, 'n': 6, 'trace_an': 0}
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id: 61367347
{'hecke_orbit_code': 72057594071485106, 'n': 7, 'trace_an': -3}
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id: 61367348
{'hecke_orbit_code': 72057594071485106, 'n': 8, 'trace_an': -6}
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id: 61367349
{'hecke_orbit_code': 72057594071485106, 'n': 9, 'trace_an': 12}
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id: 61367350
{'hecke_orbit_code': 72057594071485106, 'n': 10, 'trace_an': 0}
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id: 61367351
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